Abstract：The generalized matrix projective synchronization of uncertain complex networks is investigated in this paper based on the Lyapunov stability theory, where each network may have non-identical topological structure and different dimensions. When parameters of nodes are uncertain, two different complex networks with time-varying delay coupling can realize GMPS by constructing an adaptive controller. In addition, for the unknown drive network and a given generalized matrix, the response network is constructed to realize GMPS. It can not only control the network to achieve the synchronization but also identify the unknown parameters to affirm the structure of the network. Finally, illustrative examples are presented to demonstrate the application of the theoretical results.
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